Holomorphic representation theory. I.
Holomorphic sections of line bundles over (H,C)-Groups.
Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SLn (Q).
Homogénéité de certaines distributions sur les groupes -adiques
Homogeneity rank of real representations of compact Lie groups.
Homogeneity results for invariant distributions of a reductive p-adic group
Homogeneous Carnot groups related to sets of vector fields
In this paper, we are concerned with the following problem: given a set of smooth vector fields on , we ask whether there exists a homogeneous Carnot group such that is a sub-Laplacian on . We find necessary and sufficient conditions on the given vector fields in order to give a positive answer to the question. Moreover, we explicitly construct the group law i as above, providing direct proofs. Our main tool is a suitable version of the Campbell-Hausdorff formula. Finally, we exhibit several...
Homogeneous Complex Surfaces.
Homogeneous Poisson structures on loop spaces of symmetric spaces.
Homogeneous spaces admitting transitive semigroups.
Homogeneous spaces of compact connected Lie groups which admit nontrivial invariant algebras.
Homomorphismes de Harish-Chandra liés aux -types minimaux des séries principales généralisées des groupes de Lie réductifs connexes
Homomorphisms and extensions of principal series representations.
Homomorphisms of semiholonomic Verma modules: An exceptional case.
Homotopy nilpotent Lie groups have no torsion in homology.
Hopf algebras of smooth functions on compact Lie groups
A -Hopf algebra is a -algebra which is also a convenient Hopf algebra with respect to the structure induced by the evaluations of smooth functions. We characterize those -Hopf algebras which are given by the algebra of smooth functions on some compact Lie group , thus obtaining an anti-isomorphism of the category of compact Lie groups with a subcategory of convenient Hopf algebras.
Hopf mappings for complex quaternions.
Hörmander type multiplier theorem on complex Iwasawa AN groups
We prove that, for a distinguished laplacian on an Iwasawa AN group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood-Paley theory.
How frequent are discrete cyclic subgroups of semisimple Lie groups?
Howe's correspondence for a generic harmonic analyst
The goal of this article is to explain Howe's correspondence to a reader who is not necessarily an expert on representation theory of real reductive groups, but is familiar with general concepts of harmonic analysis. We recall Howe's construction of the oscillator representation, the notion of a dual pair and a few basic and general facts concerning the correspondence.